The irreversible endothermic gas-phase reaction follows an elementary rate law: AB+C and is carried out adiabatically in a 50dm3PFR. Species A is fed to the reactor at a rate 10 mol/min and a pressure of 2atm. An inert stream is also fed into the reactor at 2atm. The entrance temperature of both streams is T0=1100K. You are given the following additional information: Hran=60000J/molatT=273KCPA=140J/(molK)CPB=90J/(molK)CPC=50J/(molK)CPI=15J/(molK)k=exp(34.3434222/T)dm3/(molmin)atT=300K a) Derive an expression for the concentration CAOI, as a function of CA0,CI0 and I. CAOI is the concentration of CA at the inlet of the PFR after mixing with the inert stream C10 (no reaction has taken place). b) Plot conversion and temperature as a function of PFR volume. Use three different scenarios for i : 1) I=0 2) I=1 3) I=10 c) Calculate final conversion of the end of reaction for different values of I. Make a plot of X as a function of I. Is there a ratio for I at which conversion is maximized? Explain your